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Problem

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9 Nov 2021

Given information

Given that the polar equation .

Step-by-step explanation

Step 1.

Consider that the polar equation .

A rose curve is a graph that is produced from a polar equation in the form of  , where   and   is an integer > 1.

They are called rose curves because the loops that are formed resemble petals. The number of petals that are present will depend on the value of n.

The value of a will determine the length of the petals.

If n is an even integer, then the rose will have 2n petals. 

If n is an odd integer, then the rose will have n petals. 

Here n is odd so the rose curves will have 5 petals.

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